Maurer–Cartan methods in perturbative quantum mechanics.

Autor: Losev, A. S., Sulimov, T. V.
Zdroj: Theoretical & Mathematical Physics; Dec2024, Vol. 221 Issue 3, p2155-2164, 10p
Abstrakt: We reformulate the time-independent Schrödinger equation as a Maurer–Cartan equation on the superspace of eigensystems of the former equation. We then twist the differential such that its cohomology becomes the space of solutions with a fixed energy. A perturbation of the Hamiltonian corresponds to a deformation of the twisted differential, leading to a simple recursive relation for the eigenvalue and eigenfunction corrections. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index